Please answer all numbers and show complete solutions, thank you!

Problem 1: A basketball team consists of two centers, four forwards and four guards. In how many ways can a coach select a starting five of one center, two forwards and two guards? A. 42 C. 72 B. 1,152 D. 120 Problem 2: A certain kind of tire has a life exceeding 30,000 miles with probability 0.80. What is the probability that a set of these tires on a car, all will last longer than 30,000 miles? A. 0.928 C. 0.656 B. 0.4096 D. 0.0016 Problems 3, 4, & 5: A box contains 7 - 25 KW lamps, 5 - 40 KW lamps and 4 - 60 KW lamps. All the lamps are of the same shape and size. 3. If a lamp is taken at random from the box, what is the probability that the lamp is a 25 KW or a 60 KW? A. 7/16 C. 1/4 B. 11/16 D. 5/16 4. If 2 lamps are taken from the box at random without replacement, what is the probability that both lamps are 40 KW? A. 1/12 C. 9/16 B. 1/6 D. 15/16 5. If 2 lamps are taken from the box at random with replacement, what is the probability that both lamps or of the same wattage? A. 1/12 9/16 B. 45/128 D. 15/16